Lifting Capacity of Helium Blimps

The video tutorial explains how helium's lower density compared to air allows it to rise, enabling a helium-filled blimp to stay aloft. It details the calculation of a blimp's carrying capacity by considering the lifting power of helium and subtracting the blimp's mass. The tutorial uses dimensional analysis to determine the number of passengers a blimp can carry, given the average mass of a person with luggage.

Why does a helium-filled blimp stay aloft?

• Helium is more expensive than air.

• Helium is heavier than air.

• Helium is less dense than air.

• Helium is more colorful than air.

How much weight can a cubic meter of helium lift?

• 3.5 kilograms

• 2.0 kilograms

• 1.1 kilograms

• 0.5 kilograms

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What is the mass of the blimp mentioned in the problem?

• 4.11 times 10 to the fifth kilograms

• 3.11 times 10 to the fifth kilograms

• 2.11 times 10 to the fifth kilograms

• 1.11 times 10 to the fifth kilograms

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How many cubic meters of helium can the blimp carry?

• 2 times 10 to the fifth cubic meters

• 4 times 10 to the fifth cubic meters

• 3 times 10 to the fifth cubic meters

• 1 times 10 to the fifth cubic meters

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What is the lifting capacity of 2 times 10 to the fifth cubic meters of helium?

• 1.1 times 10 to the fifth kilograms

• 3.3 times 10 to the fifth kilograms

• 4.4 times 10 to the fifth kilograms

• 2.2 times 10 to the fifth kilograms

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What is the total lifting capacity of the helium in terms of kilograms?

• 1.1 times 10 to the fifth kilograms

• 2.2 times 10 to the fifth kilograms

• 3.3 times 10 to the fifth kilograms

• 4.4 times 10 to the fifth kilograms

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After accounting for the blimp's mass, what is the remaining lifting capacity?

• 0.39 times 10 to the fifth kilograms

• 0.29 times 10 to the fifth kilograms

• 0.19 times 10 to the fifth kilograms

• 0.09 times 10 to the fifth kilograms

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What is the average mass of a person with luggage?

• 10 to the first kilograms

• 10 to the second kilograms

• 10 to the third kilograms

• 10 to the fourth kilograms

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How many people can the blimp carry, including their luggage?

• 60 people

• 70 people

• 80 people

• 90 people

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What is the final step in calculating the number of passengers?

• Multiply the lifting capacity by the number of passengers.

• Divide the remaining capacity by the average mass of a person with luggage.

• Subtract the blimp's mass from the lifting capacity.

• Add the blimp's mass to the lifting capacity.

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